On embeddings of function classes defined by constructive characteristics
Volume 72 / 2006
Banach Center Publications 72 (2006), 285-307
MSC: Primary 46E35; Secondary 41A50, 26A33.
DOI: 10.4064/bc72-0-19
Abstract
In this paper we study embedding theorems for function classes which are subclasses of $L_p$, $1\le p\le \infty$. To define these classes, we use the notion of best trigonometric approximation as well as that of a $(\lambda,\beta)$-derivative, which is the generalization of a fractional derivative. Estimates of best approximations of transformed Fourier series are obtained.
